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966 results on '"Tenreiro Machado, J."'

1. Solving Nonlinear Variable-Order Time Fractional Convection-Diffusion Equation with Generalized Polynomials

Author

Hassani, H., Tenreiro Machado, J. A., Avazzadeh, Z., Naraghirad, E., Luo, Albert C. J., Series Editor, Volchenkov, Dimitri, Series Editor, Aulisa, Eugenio, Advisory Editor, Awrejcewicz, Jan, Advisory Editor, Benilov, Eugene, Advisory Editor, Courbage, Maurice, Advisory Editor, Kovalevsky, Dmitry V., Advisory Editor, Kuznetsov, Nikolay V., Advisory Editor, Lenci, Stefano, Advisory Editor, Leoncini, Xavier, Advisory Editor, Leonel, Edson Denis, Advisory Editor, Leonetti, Marc, Advisory Editor, Liao, Shijun, Advisory Editor, Masdemont, Josep J., Advisory Editor, Pelinovsky, Dmitry E., Advisory Editor, Prants, Sergey V., Advisory Editor, Raymond, Laurent, Advisory Editor, Shrira, Victor I., Advisory Editor, Suh, C. Steve, Advisory Editor, Sun, Jian-Qiao, Advisory Editor, Tenreiro Machado, J. A., Advisory Editor, Villain-Guillot, Simon, Advisory Editor, and Zaks, Michael, Advisory Editor

Published
2022
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2. An Efficient Operational Matrix Technique for Variable-Order Fractional Optimal Control Problems

Author

Hassani, H., Tenreiro Machado, J. A., Avazzadeh, Z., Luo, Albert C. J., Series Editor, Volchenkov, Dimitri, Series Editor, Aulisa, Eugenio, Advisory Editor, Awrejcewicz, Jan, Advisory Editor, Benilov, Eugene, Advisory Editor, Courbage, Maurice, Advisory Editor, Kovalevsky, Dmitry V., Advisory Editor, Kuznetsov, Nikolay V., Advisory Editor, Lenci, Stefano, Advisory Editor, Leoncini, Xavier, Advisory Editor, Leonel, Edson Denis, Advisory Editor, Leonetti, Marc, Advisory Editor, Liao, Shijun, Advisory Editor, Masdemont, Josep J., Advisory Editor, Pelinovsky, Dmitry E., Advisory Editor, Prants, Sergey V., Advisory Editor, Raymond, Laurent, Advisory Editor, Shrira, Victor I., Advisory Editor, Suh, C. Steve, Advisory Editor, Sun, Jian-Qiao, Advisory Editor, Tenreiro Machado, J. A., Advisory Editor, Villain-Guillot, Simon, Advisory Editor, and Zaks, Michael, Advisory Editor

Published
2022
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4. PREFACE — SPECIAL ISSUE ON FRACTALS AND LOCAL FRACTIONAL CALCULUS: RECENT ADVANCES AND FUTURE CHALLENGES.

Author

YANG, XIAO-JUN, BALEANU, DUMITRU, TENREIRO MACHADO, J. A., and CATTANI, CARLO

Subjects
FRACTIONAL calculus, VECTOR calculus, VECTORS (Calculus), SPECIAL functions, CALCULUS
Abstract

Fractal geometry plays an important role in the description of the characteristics of nature. Local fractional calculus, a new branch of mathematics, is used to handle the non-differentiable problems in mathematical physics and engineering sciences. The local fractional inequalities, local fractional ODEs and local fractional PDEs via local fractional calculus are studied. Fractional calculus is also considered to express the fractal behaviors of the functions, which have fractal dimensions. The interesting problems from fractional calculus and fractals are reported. With the scaling law, the scaling-law vector calculus via scaling-law calculus is suggested in detail. Some special functions related to the classical, fractional, and power-law calculus are also presented to express the Kohlrausch–Williams–Watts function, Mittag-Leffler function and Weierstrass–Mandelbrot function. They have a relation to the ODEs, PDEs, fractional ODEs and fractional PDEs in real-world problems. Theory of the scaling-law series via Kohlrausch–Williams–Watts function is suggested to handle real-world problems. The hypothesis for the tempered Xi function is proposed as the Fractals Challenge, which is a new challenge in the field of mathematics. The typical applications of fractal geometry are proposed in real-world problems. [ABSTRACT FROM AUTHOR]

Published
2024
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7. Numerical Methods

Author

Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J., Luo, Albert C J, Series Editor, Milici, Constantin, Drăgănescu, Gheorghe, and Tenreiro Machado, J.

Published
2019
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8. Generalized Systems

Author

Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J., Luo, Albert C J, Series Editor, Milici, Constantin, Drăgănescu, Gheorghe, and Tenreiro Machado, J.

Published
2019
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9. Fractional Differential Equations

Author

Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J., Luo, Albert C J, Series Editor, Milici, Constantin, Drăgănescu, Gheorghe, and Tenreiro Machado, J.

Published
2019
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10. The Laplace Transform

Author

Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J., Luo, Albert C J, Series Editor, Milici, Constantin, Drăgănescu, Gheorghe, and Tenreiro Machado, J.

Published
2019
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11. Special Functions

Author

Milici, Constantin, Drăgănescu, Gheorghe, Tenreiro Machado, J., Luo, Albert C J, Series Editor, Milici, Constantin, Drăgănescu, Gheorghe, and Tenreiro Machado, J.

Published
2019
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15. PSO Evolution Based on a Entropy Metric

Author

Solteiro Pires, E. J., Tenreiro Machado, J. A., de Moura Oliveira, P. B., Kacprzyk, Janusz, Series Editor, Pal, Nikhil R., Advisory Editor, Bello Perez, Rafael, Advisory Editor, Corchado, Emilio S., Advisory Editor, Hagras, Hani, Advisory Editor, Kóczy, László T., Advisory Editor, Kreinovich, Vladik, Advisory Editor, Lin, Chin-Teng, Advisory Editor, Lu, Jie, Advisory Editor, Melin, Patricia, Advisory Editor, Nedjah, Nadia, Advisory Editor, Nguyen, Ngoc Thanh, Advisory Editor, Wang, Jun, Advisory Editor, Madureira, Ana Maria, editor, Abraham, Ajith, editor, Gandhi, Niketa, editor, and Varela, Maria Leonilde, editor

Published
2020
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18. Preface

Author

Lacarbonara, Walter, Tenreiro Machado, J., Ma, Jun, and Nataraj, C.

Published
2021
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20. Modified SIQR model for the COVID‐19 outbreak in several countries.

Author

Pinto, Carla M. A., Tenreiro Machado, J. A., and Burgos‐Simón, Clara

Subjects
*COVID-19 pandemic, *COUNTRIES, *HEALTH policy
Abstract

In this paper, we propose a modified Susceptible‐Infected‐Quarantine‐Recovered (mSIQR) model, for the COVID‐19 pandemic. We start by proving the well‐posedness of the model and then compute its reproduction number and the corresponding sensitivity indices. We discuss the values of these indices for epidemiological relevant parameters, namely, the contact rate, the proportion of unknown infectious, and the recovering rate. The mSIQR model is simulated, and the outputs are fit to COVID‐19 pandemic data from several countries, including France, US, UK, and Portugal. We discuss the epidemiological relevance of the results and provide insights on future patterns, subjected to health policies. [ABSTRACT FROM AUTHOR]

Published
2024
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21. Editorial of the special issue on modelling, analysis, and applications.

Author

Pinto, Carla M. A., Zeidan, Dia, Cortés‐Lopéz, Juan Carlos, and Tenreiro Machado, J. A.

Subjects
APPLIED sciences, MATHEMATICAL analysis, MATHEMATICAL models, SCIENTIFIC models, CONFERENCES & conventions
Abstract

This special issue of the Journal Mathematical Methods in the Applied Sciences on the topic of Modelling, Analysis, and Applications is devoted to the development of mathematical modelling, analysis, and applications, from theoretical and numerical perspectives, involving different applied sciences and engineering. It collects invited contributions, from selected quality full papers submitted to the International Conference on Mathematical Analysis and Applications in Science and Engineering (ICMA2SC2022). The conference took place in Porto, Portugal in 27–29 June 2022 (https://www.isep.ipp.pt/Page/ViewPage/ICMASC). [ABSTRACT FROM AUTHOR]

Published
2024
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29. Entropy in Dynamic Systems

Author

Tenreiro Machado, J. A. and Awrejcewicz, Jan

Abstract

In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.

Published
2019

35. Numerical Methods

Author

Milici, Constantin, primary, Drăgănescu, Gheorghe, additional, and Tenreiro Machado, J., additional

Published
2018
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36. Special Functions

Author

Milici, Constantin, primary, Drăgănescu, Gheorghe, additional, and Tenreiro Machado, J., additional

Published
2018
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